Homogeneous multigrid for embedded discontinuous Galerkin methods
arXiv:2101.12645 · doi:10.1007/s10543-021-00902-y
Abstract
We introduce a homogeneous multigrid method in the sense that it uses the same embedded discontinuous Galerkin (EDG) discretization scheme for Poisson's equation on all levels. In particular, we use the injection operator developed in [LuRK2020] for HDG and prove optimal convergence of the method under the assumption of elliptic regularity. Numerical experiments underline our analytical findings.
arXiv commentarXiv admin note: substantial text overlap with arXiv:2011.14018
References in corpus (4)
- A performance comparison of continuous and discontinuous Galerkin methods with fast multigrid solvers
- An embedded--hybridized discontinuous Galerkin finite element method for the Stokes equations
- A Robust Multilevel Method for Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation
- HMG -- Homogeneous multigrid for HDG